Practice Set 3

About This Set

Most questions here need two steps or a careful setup: working back from $a^3 + b^3$ to $a - b$, a sum that the $a + b + c = 0$ rule makes simple, a sign that depends on whether $x > 1$, or a pair of equations that must have infinitely many solutions. The [Tier 2] items use ideas that come up mainly in Tier 2, so a student writing only Tier 1 can keep them for later. Allow about 35 minutes and finish the set before reading the explanations. If you get 18 or more right, your algebra is ready for the PYQ Practice Sets.